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Finding the Third Proportional to 2,545,920 and 5,546,304

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Solution

The third proportional to 2,545,920 and 5,546,304 is: 12,082,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545,920 : 5,546,304 = 5,546,304 : x
  2. Step 2: Convert to fraction form
    2,545,920/5,546,304 = 5,546,304/x
  3. Step 3: Cross multiply
    2,545,920x = 5,546,304 × 5,546,304
  4. Step 4: Simplify right side
    2,545,920x = 30,761,488,060,416
  5. Step 5: Solve for x
    x = 30,761,488,060,416/2,545,920
  6. Step 6: Final answer
    x = 12,082,660.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.